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Advanced mathematical tools for automatic control engineers. Vol. 1, Deterministic techniques /

This book provides a blend of Matrix and Linear Algebra Theory, Analysis, Differential Equations, Optimization, Optimal and Robust Control. It contains an advanced mathematical tool which serves as a fundamental basis for both instructors and students who study or actively work in Modern Automatic C...

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Bibliographic Details
Main Authors: Poznyak, Alexander S. (Author)
Corporate Authors: Elsevier Science & Technology.
Published: Elsevier,
Publisher Address: Amsterdam ; Boston ; London :
Publication Dates: 2008.
Literature type: eBook
Language: English
Subjects:
Control theory.
Teori a del control.
Electronic books.
Online Access: http://www.sciencedirect.com/science/book/9780080446745
Summary: This book provides a blend of Matrix and Linear Algebra Theory, Analysis, Differential Equations, Optimization, Optimal and Robust Control. It contains an advanced mathematical tool which serves as a fundamental basis for both instructors and students who study or actively work in Modern Automatic Control or in its applications. It is includes proofs of all theorems and contains many examples with solutions. It is written for researchers, engineers, and advanced students who wish to increase their familiarity with different topics of modern and classical mathematics related to System and Automatic Control Theories * Provides comprehensive theory of matrices, real, complex and functional analysis * Provides practical examples of modern optimization methods that can be effectively used in variety of real-world applications * Contains worked proofs of all theorems and propositions presented.
Carrier Form: 1 online resource (774 pages) : illustrations
Bibliography: Includes bibliographical references (pages 763-765) and index.
ISBN: 9780080446745
0080446744
Index Number: QA402
CLC: O231
Contents: I MATRICES AND RELATED TOPICS -- 1 Determinants -- 2 Matrices and Matrix Operations -- 3 Eigenvalues and Eigenvectors -- 4 Matrix Transformations -- 5 Matrix Functions -- 6 Moore-Penrose Pseudoinverse -- 7 Hermitian and Quadratic Forms -- 8 Linear Matrix Equations -- 9 Stable Matrices and Polynomials -- 10 Algebraic Riccati Equation -- 11 Linear Matrix Inequalities -- 12 Miscellaneous -- II ANALYSIS -- 13 The Real and Complex Number Systems -- 14 Sets, Functions and Metric Spaces -- 15 Integration -- 16 Selected Topics of Real Analysis -- 17 Complex Analysis -- 18 Topics of Functional Analysis -- III DIFFERENTIAL EQUATIONS AND OPTIMIZATION -- 19 Ordinary Differential Equations -- 20 Elements of Stability Theory -- 21 Finite-Dimensional Optimization -- 22 Variational Calculus and Optimal Control -- 23 H2 and H[infinity] Optimization 811.

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